Transposing Resonant Frequency Formula: Solving for Capacitance in an LC Circuit

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Discussion Overview

The discussion revolves around transposing the resonant frequency formula for an LC circuit to solve for capacitance (C). Participants are seeking assistance with algebraic manipulation to isolate C given known values for inductance (L) and frequency (f).

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant requests help to transpose the formula f = 1/(2π√(LC)) to solve for C.
  • Another participant suggests that isolating C involves squaring both sides of the equation to eliminate the square root, followed by regular algebraic manipulation.
  • A third participant seeks clarification on the formula, proposing an alternative interpretation of the equation.
  • There is a suggestion to provide what has been attempted so far to facilitate further assistance.

Areas of Agreement / Disagreement

Participants generally agree on the need for algebraic manipulation to isolate C, but there are variations in the proposed methods and interpretations of the formula.

Contextual Notes

There are unresolved details regarding the specific steps for transposing the formula, and assumptions about the values of L and f are not explicitly stated.

Who May Find This Useful

Individuals interested in algebraic manipulation of formulas in physics, particularly in the context of LC circuits and resonant frequency calculations.

pcdoctor
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Can anybody please transpose the following formula..

f=1/2*pie * Sqrt L*C - Resonant Frequency Formula.

I know value for L and F but require C.

Anyone help or show me how - I have spent ages on this and my brain has gone soft :confused:

Cheers
 
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May be helpful if this was in the general maths area aswell...
 
pcdoctor said:
Can anybody please transpose the following formula..

f=1/2*pie * Sqrt L*C - Resonant Frequency Formula.

I know value for L and F but require C.

Anyone help or show me how - I have spent ages on this and my brain has gone soft :confused:

Cheers

It is just an algebraic manipulation. To isolate the C, square both sides to get rid of the square root sign. Then just use your regular algebraic manipulation to get the C isolated all by itself on the lefthand side (LHS) of the equation. Does that help? What answer do you get?


EDIT -- I'm moving this to the Homework Help forums, where homework and coursework should be posted.
 
pcdoctor said:
Can anybody please transpose the following formula..

f=1/2*pie * Sqrt L*C - Resonant Frequency Formula.

Just for clarification, did you mean ?
f = 1/[2*pi*Sqrt(L*C)]

I also recommend the procedure that Berkeman suggested. If you show us what you have got so far, we can help steer you in the right direction.
 

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